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12321103220001 = 3283193527916189
BaseRepresentation
bin1011001101001011101011…
…1110110000110100100001
31121121212220212102210010100
42303102322332300310201
53103332104411020001
642112123042253013
72411112265235532
oct263227276606441
947555825383110
1012321103220001
113a20394614694
12146bab4657169
136b4b4b633604
143084b7742689
1516577811a586
hexb34bafb0d21

12321103220001 has 48 divisors (see below), whose sum is σ = 18109444953600. Its totient is φ = 8071029098496.

The previous prime is 12321103219993. The next prime is 12321103220039. The reversal of 12321103220001 is 10002230112321.

12321103220001 is a `hidden beast` number, since 1 + 232 + 110 + 322 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 12321103220001 - 23 = 12321103219993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12321103220051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761070615 + ... + 761086803.

It is an arithmetic number, because the mean of its divisors is an integer number (377280103200).

Almost surely, 212321103220001 is an apocalyptic number.

It is an amenable number.

12321103220001 is a deficient number, since it is larger than the sum of its proper divisors (5788341733599).

12321103220001 is a wasteful number, since it uses less digits than its factorization.

12321103220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21750 (or 21747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12321103220001 its reverse (10002230112321), we get a palindrome (22323333332322).

The spelling of 12321103220001 in words is "twelve trillion, three hundred twenty-one billion, one hundred three million, two hundred twenty thousand, one".

Divisors: 1 3 9 83 193 249 579 747 1737 5279 15837 16019 16189 47511 48057 48567 144171 145701 438157 1018847 1314471 1343687 3056541 3124477 3943413 4031061 9169623 9373431 12093183 28120293 84564301 85461731 253692903 256385193 259331591 761078709 769155579 777994773 2333984319 7093323673 16494114083 21279971019 49482342249 63839913057 148447026747 1369011468889 4107034406667 12321103220001